2015
DOI: 10.1002/acs.2643
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Global adaptive regulation control for a class of nonlinear systems with unknown control coefficients

Abstract: This paper is concerned with the global asymptotic regulation control problem for a class of nonlinear uncertain systems with unknown control coefficients. The allowed class of uncertainties include unmeasured input-to-state stable (ISS) and/or weaker integral ISS (iISS) inverse dynamics, parametric uncertainties, and uncertain nonlinearities. By using the Nussbaum-type gain technique and changing the ISS/integral ISS inverse dynamics supply rates, we design a dynamic output feedback controller which could gua… Show more

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Cited by 13 publications
(3 citation statements)
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“…The local small‐gain type conditions () and () in Assumption 4 are used to deal with the dynamic uncertainty 39 . Additionally, as in References 40 and 41, the uncertain supply rates are also allowed in (), which is a more general growth condition than that in References 31,33.…”
Section: Problem Formulationmentioning
confidence: 99%
“…The local small‐gain type conditions () and () in Assumption 4 are used to deal with the dynamic uncertainty 39 . Additionally, as in References 40 and 41, the uncertain supply rates are also allowed in (), which is a more general growth condition than that in References 31,33.…”
Section: Problem Formulationmentioning
confidence: 99%
“…There have been several approaches that can be used to construct controllers for nonlinear systems with uncertain virtual control coefficients. Nussbaum gain, one of the most popular techniques, was firstly proposed 9 , which employed even Nussbaum functions to design tracking controllers for nonlinear systems with unknown constant virtual control coefficients 9 13 . Ge et al addressed the control problem for nonlinear systems with unknown time-varying virtual control coefficients 14 .…”
Section: Introductionmentioning
confidence: 99%
“…23 Yu et al 25 proposed an adaptive output feedback control law to describe the dynamic uncertainty of the system by using the uncertain ISS/iISS supply rate. Yu et al 26 studied the decentralized adaptive output-feedback problem for stochastic nonlinear interconnected systems with unknown virtual control coefficients and stochastic unmodeled dynamic interactions. Since disturbance became an important factor causing instability, and also an inevitable factor to be considered in practical control, some scholars began to pay attention to regulation control for cascade nonlinear systems with external disturbance in input channel by the use of extended state observer (ESO) and output feedback.…”
Section: Introductionmentioning
confidence: 99%